Conformal Killing horizons and their thermodynamics. (11th April 2018)

• Record Type: Journal Article
• Authors: Nielsen, Alex B; Shoom, Andrey A
• Is Part Of: Classical and quantum gravity. Volume 35:Number 10(2018:May)
• Publication Date: 2018-04-11
• Subjects: black holes -- horizons -- thermodynamics; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/aab505
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: Certain dynamical black hole solutions can be mapped to static spacetimes by conformal metric transformations. This mapping provides a physical link between the conformal Killing horizon of the dynamical black hole and the Killing horizon of the static spacetime. Using the Vaidya spacetime as an example, we show how this conformal relation can be used to derive thermodynamic properties of such dynamical black holes. Although these horizons are defined quasi-locally and can be located by local experiments, they are distinct from other popular notions of quasi-local horizons such as apparent horizons. Thus in the dynamical Vaidya spacetime describing constant accretion of null dust, the conformal Killing horizon, which is null by construction, is the natural horizon to describe the black hole.